Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 935/377, 119/808 quickly i.e. 6545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 935/377, 119/808 is 6545.
LCM(935/377, 119/808) = 6545
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 935/377,119/808
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 935,119
Least Common Multiple of Numerators i.e. LCM of 935,119 is 6545.
GCF of Denominators means GCF of 377,808 as per the given fractions.
GCF of 377,808 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 935,119
17 | 935, 119 |
55, 7 |
∴ So the LCM of the given numbers is 17 x 55 x 7 = 6545
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 935,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,119) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(935,119) x common factors =17 x 1 = 17
LCM(935,119) = ( 935 × 119 ) / 17
LCM(935,119) = 111265 / 17
LCM(935,119) = 6545
Lets's calculate GCF of 377,808
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6545/1
Therefore the LCM of Fractions 935/377,119/808 is 6545
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 377,808 . The biggest common factor number is the GCF number.
So the greatest common factor 377,808 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 935/377, 119/808?
Answer: LCM of Numerators as per given numbers 935/377, 119/808 is
LCM of Numerators i.e. for 935,119 is 6545
GCF of denominators i.e. for 377,808 is 1.
Thus, LCM of Fractions is 6545.Finally, LCM of Fractions for 935/377, 119/808 is 6545.